Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8719, 8724 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8719 and 8724 is 1.
GCF(8719,8724) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8719
8719 | 8719 |
1 |
Prime factors of 8719 are 8719. Prime factorization of 8719 in exponential form is:
8719 = 87191
Prime Factorization of 8724
2 | 8724 |
2 | 4362 |
3 | 2181 |
727 | 727 |
1 |
Prime factors of 8724 are 2.Prime factorization of 8724 in exponential form is:
8724 = 22×31×7271
∴ So by taking common prime factors GCF of 8719 and 8724 is 1
Factors of 8719
List of positive integer factors of 8719 that divides 8719 without a remainder.
1,8719
Factors of 8724
List of positive integer factors of 8724 that divides 8724 without a remainder.
1,2,3,4,6,12,727,1454,2181,2908,4362,8724
Greatest Common Factor
We found the factors and prime factorization of 8719 and 8724. The biggest common factor number is the GCF number.
So the greatest common factor 8719 and 8724 is 1.
Also check out the Least Common Multiple of 8719 and 8724
(i) The GCF of 8719 and 8724 is associative
GCF of 8719 and 8724 = GCF of 8724 and 8719
1. What is the GCF of 8719 and 8724?
Answer: GCF of 8719 and 8724 is 1.
2. What are the Factors of 8719?
Answer: Factors of 8719 are 1, 8719. There are 2 integers that are factors of 8719. The greatest factor of 8719 is 8719.
3. What are the Factors of 8724?
Answer: Factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724. There are 12 integers that are factors of 8724. The greatest factor of 8724 is 8724.
4. How to Find the GCF of 8719 and 8724?
Answer:
Greatest Common Factor of 8719 and 8724 = 1
Step 1: Find the prime factorization of 8719
8719 = 8719
Step 2: Find the prime factorization of 8724
8724 = 2 x 2 x 3 x 727
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8719 and 8724 is 1